Persistence of Invariant Manifolds for Perturbations of Semiflows with Symmetry

Files
1999-Zeng.pdf (150.15 KB)
Date
1999-03-18
Authors
Zeng, Chongchun
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
Consider a semiflow in a Banach space, which is invariant under the action of a compact Lie group. Any equilibrium generates a manifold of equilibria under the action of the group. We prove that, if the manifold of equilibria is normally hyperbolic, an invariant manifold persists in the neighborhood under any small perturbation which may break the symmetry. The Liapunov-Perron approach of integral equations is used.
Description
Keywords
Semiflow, Invariant manifold, Symmetry
Citation
Zeng, C. (1999). Persistence of invariant manifolds for perturbations of semiflows with symmetry. <i>Electronic Journal of Differential Equations, 1999</i>(16), pp. 1-13.
URI
https://hdl.handle.net/10877/8883
Collections
Electronic Journal of Differential Equations